%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC178-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:02:48 PM UTC 2026
% Result : Unsatisfiable 9.27s 2.17s
% Output : Refutation 9.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 46
% Syntax : Number of formulae : 201 ( 44 unt; 18 def)
% Number of atoms : 620 ( 135 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 797 ( 378 ~; 406 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 14 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f77,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f103,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f104,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f105,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f104]) ).
fof(f107,axiom,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
fof(f123,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(reorient_equations,[],[f123]) ).
fof(f144,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f184,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| X3 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| X1 = X3 ),
inference(reorient_equations,[],[f184]) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,plain,
sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
~ neq(sk5,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f214,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f217,plain,
sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f212,f205]) ).
fof(f242,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f243,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f242]) ).
fof(f244,definition,
sF1 = app(sk7,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f245,plain,
app(sk7,sF0) = sF1,
inference(reorient_equations,[],[f244]) ).
fof(f246,definition,
sF2 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f247,plain,
cons(sk6,nil) = sF2,
inference(reorient_equations,[],[f246]) ).
fof(f248,definition,
sF3 = app(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f249,plain,
app(sF1,sF2) = sF3,
inference(reorient_equations,[],[f248]) ).
fof(f250,definition,
sF4 = app(sF3,sk8),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f251,plain,
app(sF3,sk8) = sF4,
inference(reorient_equations,[],[f250]) ).
fof(f252,plain,
sk3 = sF4,
inference(definition_folding,[],[f217,f251,f249,f247,f245,f243]) ).
fof(f260,definition,
( spl5_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f262,plain,
( ~ neq(sk4,nil)
| spl5_1 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl5_2
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f266,plain,
( singletonP(sk3)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f267,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f214,f264,f260]) ).
fof(f273,definition,
( spl5_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f274,plain,
( ssList(nil)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f309,plain,
spl5_4,
inference(avatar_split_clause,[],[f8,f273]) ).
fof(f310,plain,
sk3 = app(sF3,sk8),
inference(forward_demodulation,[],[f251,f252]) ).
fof(f311,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl5_1 ),
inference(resolution,[],[f102,f262]) ).
fof(f312,plain,
( ~ ssList(nil)
| nil = sk4
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f311,f203]) ).
fof(f313,plain,
( nil = sk4
| spl5_1
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f312,f274]) ).
fof(f317,definition,
( spl5_12
<=> sk5 = sk6 ),
introduced(definition,[new_symbols(definition,[spl5_12])],[avatar_definition]) ).
fof(f319,plain,
( sk5 = sk6
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f330,plain,
( ~ ssItem(sk5)
| ~ ssItem(sk6)
| sk5 = sk6 ),
inference(resolution,[],[f105,f213]) ).
fof(f331,plain,
( ~ ssItem(sk6)
| sk5 = sk6 ),
inference(forward_subsumption_resolution,[],[f330,f207]) ).
fof(f332,plain,
sk5 = sk6,
inference(forward_subsumption_resolution,[],[f331,f208]) ).
fof(f333,plain,
spl5_12,
inference(avatar_split_clause,[],[f332,f317]) ).
fof(f336,plain,
( cons(sk5,nil) = sF2
| ~ spl5_12 ),
inference(superposition,[],[f247,f319]) ).
fof(f337,plain,
( sF0 = sF2
| ~ spl5_12 ),
inference(forward_demodulation,[],[f336,f243]) ).
fof(f338,plain,
( sF3 = app(sF1,sF0)
| ~ spl5_12 ),
inference(superposition,[],[f249,f337]) ).
fof(f339,plain,
( ssList(sF0)
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[],[f86,f243]) ).
fof(f342,plain,
( ssList(sF0)
| ~ ssItem(sk5)
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f339,f274]) ).
fof(f344,plain,
( ssList(sF0)
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f342,f207]) ).
fof(f346,plain,
( ssList(sF1)
| ~ ssList(sk7)
| ~ ssList(sF0) ),
inference(superposition,[],[f85,f245]) ).
fof(f348,plain,
( ssList(sF3)
| ~ ssList(sF1)
| ~ ssList(sF2) ),
inference(superposition,[],[f85,f249]) ).
fof(f349,plain,
( ~ ssList(sF0)
| ssList(sF3)
| ~ ssList(sF1)
| ~ spl5_12 ),
inference(forward_demodulation,[],[f348,f337]) ).
fof(f350,plain,
( ssList(sF1)
| ~ ssList(sF0) ),
inference(forward_subsumption_resolution,[],[f346,f209]) ).
fof(f351,plain,
( ssList(sF3)
| ~ ssList(sF1)
| ~ spl5_4
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f349,f344]) ).
fof(f352,plain,
( ssList(sF1)
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f350,f344]) ).
fof(f354,definition,
( spl5_15
<=> ssList(sF1) ),
introduced(definition,[new_symbols(definition,[spl5_15])],[avatar_definition]) ).
fof(f355,plain,
( ssList(sF1)
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f358,definition,
( spl5_16
<=> ssList(sF3) ),
introduced(definition,[new_symbols(definition,[spl5_16])],[avatar_definition]) ).
fof(f360,plain,
( ssList(sF3)
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f361,plain,
( ~ spl5_15
| spl5_16
| ~ spl5_4
| ~ spl5_12 ),
inference(avatar_split_clause,[],[f351,f317,f273,f358,f354]) ).
fof(f362,plain,
( spl5_15
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f352,f273,f354]) ).
fof(f383,plain,
( sF3 = app(sF3,nil)
| ~ spl5_16 ),
inference(resolution,[],[f73,f360]) ).
fof(f386,plain,
( segmentP(nil,sk3)
| spl5_1
| ~ spl5_4 ),
inference(superposition,[],[f206,f313]) ).
fof(f388,plain,
( ~ ssList(sk3)
| nil = sk3
| spl5_1
| ~ spl5_4 ),
inference(resolution,[],[f386,f80]) ).
fof(f389,plain,
( nil = sk3
| spl5_1
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f388,f202]) ).
fof(f393,plain,
( nil != sF0
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f99,f243]) ).
fof(f396,plain,
( nil != sF0
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f393,f207]) ).
fof(f398,plain,
( nil != sF0
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f396,f274]) ).
fof(f436,plain,
( nil != sF1
| ~ ssList(sF0)
| ~ ssList(sk7)
| nil = sF0 ),
inference(superposition,[],[f124,f245]) ).
fof(f437,plain,
( nil != sk3
| ~ ssList(sk8)
| ~ ssList(sF3)
| nil = sk8 ),
inference(superposition,[],[f124,f310]) ).
fof(f439,plain,
( nil != sF3
| ~ ssList(sF0)
| ~ ssList(sF1)
| nil = sF0
| ~ spl5_12 ),
inference(superposition,[],[f124,f338]) ).
fof(f440,plain,
( nil != sF3
| ~ ssList(sF1)
| nil = sF0
| ~ spl5_4
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f439,f344]) ).
fof(f442,plain,
( ~ ssList(sk8)
| ~ ssList(sF3)
| nil = sk8
| spl5_1
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f437,f389]) ).
fof(f443,plain,
( nil != sF1
| ~ ssList(sk7)
| nil = sF0
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f436,f344]) ).
fof(f444,plain,
( nil != sF3
| nil = sF0
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15 ),
inference(forward_subsumption_resolution,[],[f440,f355]) ).
fof(f446,plain,
( ~ ssList(sF3)
| nil = sk8
| spl5_1
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f442,f210]) ).
fof(f447,plain,
( nil != sF1
| nil = sF0
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f443,f209]) ).
fof(f448,plain,
( nil != sF3
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15 ),
inference(forward_subsumption_resolution,[],[f444,f398]) ).
fof(f450,plain,
( nil = sk8
| spl5_1
| ~ spl5_4
| ~ spl5_16 ),
inference(forward_subsumption_resolution,[],[f446,f360]) ).
fof(f451,plain,
( nil != sF1
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f447,f398]) ).
fof(f453,plain,
( sk3 = app(sF3,nil)
| spl5_1
| ~ spl5_4
| ~ spl5_16 ),
inference(superposition,[],[f310,f450]) ).
fof(f454,plain,
( sk3 = sF3
| spl5_1
| ~ spl5_4
| ~ spl5_16 ),
inference(forward_demodulation,[],[f453,f383]) ).
fof(f455,plain,
( nil = sF3
| spl5_1
| ~ spl5_4
| ~ spl5_16 ),
inference(forward_demodulation,[],[f454,f389]) ).
fof(f456,plain,
( $false
| spl5_1
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(forward_subsumption_resolution,[],[f455,f448]) ).
fof(f457,plain,
( spl5_1
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f465,definition,
( spl5_18
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl5_18])],[avatar_definition]) ).
fof(f466,plain,
( nil = sk3
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f467,plain,
( nil != sk3
| spl5_18 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f469,plain,
( ~ ssList(sk3)
| sk3 = cons(skaf44(sk3),nil)
| ~ spl5_2 ),
inference(resolution,[],[f266,f103]) ).
fof(f470,plain,
( sk3 = cons(skaf44(sk3),nil)
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f469,f202]) ).
fof(f474,plain,
( nil != sk3
| ~ ssList(sk8)
| ~ ssList(sF3)
| nil = sF3 ),
inference(superposition,[],[f122,f310]) ).
fof(f485,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sF1
| tl(app(sF1,X0)) = app(tl(sF1),X0) )
| ~ spl5_15 ),
inference(resolution,[],[f144,f355]) ).
fof(f486,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sF3
| tl(app(sF3,X0)) = app(tl(sF3),X0) )
| ~ spl5_16 ),
inference(resolution,[],[f144,f360]) ).
fof(f487,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sF3,X0)) = app(tl(sF3),X0) )
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(forward_subsumption_resolution,[],[f486,f448]) ).
fof(f488,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sF1,X0)) = app(tl(sF1),X0) )
| ~ spl5_4
| ~ spl5_15 ),
inference(forward_subsumption_resolution,[],[f485,f451]) ).
fof(f529,plain,
( tl(app(sF3,sk8)) = app(tl(sF3),sk8)
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(resolution,[],[f487,f210]) ).
fof(f550,plain,
( tl(app(sF1,sF0)) = app(tl(sF1),sF0)
| ~ spl5_4
| ~ spl5_15 ),
inference(resolution,[],[f488,f344]) ).
fof(f804,plain,
( tl(sk3) = app(tl(sF3),sk8)
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(forward_demodulation,[],[f529,f310]) ).
fof(f813,plain,
( nil != tl(sk3)
| ~ ssList(sk8)
| ~ ssList(tl(sF3))
| nil = tl(sF3)
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(superposition,[],[f122,f804]) ).
fof(f815,plain,
( ssList(tl(sk3))
| ~ ssList(tl(sF3))
| ~ ssList(sk8)
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(superposition,[],[f85,f804]) ).
fof(f816,plain,
( ssList(tl(sk3))
| ~ ssList(tl(sF3))
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(forward_subsumption_resolution,[],[f815,f210]) ).
fof(f818,plain,
( nil != tl(sk3)
| ~ ssList(tl(sF3))
| nil = tl(sF3)
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(forward_subsumption_resolution,[],[f813,f210]) ).
fof(f821,definition,
( spl5_24
<=> ssList(tl(sF3)) ),
introduced(definition,[new_symbols(definition,[spl5_24])],[avatar_definition]) ).
fof(f823,plain,
( ~ ssList(tl(sF3))
| spl5_24 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f825,definition,
( spl5_25
<=> ssList(tl(sk3)) ),
introduced(definition,[new_symbols(definition,[spl5_25])],[avatar_definition]) ).
fof(f827,plain,
( ssList(tl(sk3))
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f828,plain,
( ~ spl5_24
| spl5_25
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(avatar_split_clause,[],[f816,f358,f354,f317,f273,f825,f821]) ).
fof(f831,definition,
( spl5_26
<=> nil = tl(sF3) ),
introduced(definition,[new_symbols(definition,[spl5_26])],[avatar_definition]) ).
fof(f833,plain,
( nil = tl(sF3)
| ~ spl5_26 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f835,definition,
( spl5_27
<=> nil = tl(sk3) ),
introduced(definition,[new_symbols(definition,[spl5_27])],[avatar_definition]) ).
fof(f837,plain,
( nil != tl(sk3)
| spl5_27 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f838,plain,
( spl5_26
| ~ spl5_24
| ~ spl5_27
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(avatar_split_clause,[],[f818,f358,f354,f317,f273,f835,f821,f831]) ).
fof(f844,plain,
( ~ ssList(sF3)
| nil = sF3
| spl5_24 ),
inference(resolution,[],[f823,f77]) ).
fof(f845,plain,
( nil = sF3
| ~ spl5_16
| spl5_24 ),
inference(forward_subsumption_resolution,[],[f844,f360]) ).
fof(f846,plain,
( $false
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16
| spl5_24 ),
inference(forward_subsumption_resolution,[],[f845,f448]) ).
fof(f847,plain,
( ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16
| spl5_24 ),
inference(avatar_contradiction_clause,[],[f846]) ).
fof(f1139,plain,
( tl(sF3) = app(tl(sF1),sF0)
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15 ),
inference(forward_demodulation,[],[f550,f338]) ).
fof(f1156,plain,
( nil = app(tl(sF1),sF0)
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_26 ),
inference(forward_demodulation,[],[f1139,f833]) ).
fof(f1172,plain,
( nil != nil
| ~ ssList(sF0)
| ~ ssList(tl(sF1))
| nil = sF0
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_26 ),
inference(superposition,[],[f124,f1156]) ).
fof(f1174,plain,
( ~ ssList(sF0)
| ~ ssList(tl(sF1))
| nil = sF0
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_26 ),
inference(trivial_inequality_removal,[],[f1172]) ).
fof(f1176,plain,
( ~ ssList(tl(sF1))
| nil = sF0
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_26 ),
inference(forward_subsumption_resolution,[],[f1174,f344]) ).
fof(f1179,plain,
( ~ ssList(tl(sF1))
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_26 ),
inference(forward_subsumption_resolution,[],[f1176,f398]) ).
fof(f1185,definition,
( spl5_39
<=> ssList(tl(sF1)) ),
introduced(definition,[new_symbols(definition,[spl5_39])],[avatar_definition]) ).
fof(f1187,plain,
( ~ ssList(tl(sF1))
| spl5_39 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f1193,plain,
( ~ spl5_39
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_26 ),
inference(avatar_split_clause,[],[f1179,f831,f354,f317,f273,f1185]) ).
fof(f1194,plain,
( ~ ssList(sF1)
| nil = sF1
| spl5_39 ),
inference(resolution,[],[f1187,f77]) ).
fof(f1195,plain,
( nil = sF1
| ~ spl5_15
| spl5_39 ),
inference(forward_subsumption_resolution,[],[f1194,f355]) ).
fof(f1196,plain,
( $false
| ~ spl5_4
| ~ spl5_15
| spl5_39 ),
inference(forward_subsumption_resolution,[],[f1195,f451]) ).
fof(f1197,plain,
( ~ spl5_4
| ~ spl5_15
| spl5_39 ),
inference(avatar_contradiction_clause,[],[f1196]) ).
fof(f1730,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| nil = sk3 ),
inference(resolution,[],[f107,f202]) ).
fof(f1742,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| spl5_18 ),
inference(forward_subsumption_resolution,[],[f1730,f467]) ).
fof(f2215,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(skaf44(sk3))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| nil = X1 )
| ~ spl5_2 ),
inference(superposition,[],[f185,f470]) ).
fof(f2228,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| nil = X1 )
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f2215,f47]) ).
fof(f2244,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1 )
| ~ spl5_2
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f2228,f274]) ).
fof(f2321,definition,
( spl5_65
<=> ssItem(hd(sk3)) ),
introduced(definition,[new_symbols(definition,[spl5_65])],[avatar_definition]) ).
fof(f2322,plain,
( ssItem(hd(sk3))
| ~ spl5_65 ),
inference(avatar_component_clause,[],[f2321]) ).
fof(f2323,plain,
( ~ ssItem(hd(sk3))
| spl5_65 ),
inference(avatar_component_clause,[],[f2321]) ).
fof(f2364,plain,
( sk3 != sk3
| ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3))
| nil = tl(sk3)
| ~ spl5_2
| ~ spl5_4
| spl5_18 ),
inference(superposition,[],[f2244,f1742]) ).
fof(f2365,plain,
( ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3))
| nil = tl(sk3)
| ~ spl5_2
| ~ spl5_4
| spl5_18 ),
inference(trivial_inequality_removal,[],[f2364]) ).
fof(f2373,plain,
( ~ ssList(sk3)
| nil = sk3
| spl5_65 ),
inference(resolution,[],[f2323,f78]) ).
fof(f2374,plain,
( nil = sk3
| spl5_65 ),
inference(forward_subsumption_resolution,[],[f2373,f202]) ).
fof(f2375,plain,
( $false
| spl5_18
| spl5_65 ),
inference(forward_subsumption_resolution,[],[f2374,f467]) ).
fof(f2376,plain,
( spl5_18
| spl5_65 ),
inference(avatar_contradiction_clause,[],[f2375]) ).
fof(f2377,plain,
( ~ ssList(tl(sk3))
| nil = tl(sk3)
| ~ spl5_2
| ~ spl5_4
| spl5_18
| ~ spl5_65 ),
inference(forward_subsumption_resolution,[],[f2365,f2322]) ).
fof(f2378,plain,
( nil = tl(sk3)
| ~ spl5_2
| ~ spl5_4
| spl5_18
| ~ spl5_25
| ~ spl5_65 ),
inference(forward_subsumption_resolution,[],[f2377,f827]) ).
fof(f2379,plain,
( $false
| ~ spl5_2
| ~ spl5_4
| spl5_18
| ~ spl5_25
| spl5_27
| ~ spl5_65 ),
inference(forward_subsumption_resolution,[],[f2378,f837]) ).
fof(f2380,plain,
( ~ spl5_2
| ~ spl5_4
| spl5_18
| ~ spl5_25
| spl5_27
| ~ spl5_65 ),
inference(avatar_contradiction_clause,[],[f2379]) ).
fof(f2384,plain,
( ~ ssList(sk8)
| ~ ssList(sF3)
| nil = sF3
| ~ spl5_18 ),
inference(forward_subsumption_resolution,[],[f474,f466]) ).
fof(f2388,plain,
( ~ ssList(sF3)
| nil = sF3
| ~ spl5_18 ),
inference(forward_subsumption_resolution,[],[f2384,f210]) ).
fof(f2393,plain,
( nil = sF3
| ~ spl5_16
| ~ spl5_18 ),
inference(forward_subsumption_resolution,[],[f2388,f360]) ).
fof(f2395,plain,
( $false
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16
| ~ spl5_18 ),
inference(forward_subsumption_resolution,[],[f2393,f448]) ).
fof(f2396,plain,
( ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16
| ~ spl5_18 ),
inference(avatar_contradiction_clause,[],[f2395]) ).
cnf(s1,plain,
( ~ spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f267]) ).
cnf(s11,plain,
spl5_4,
inference(sat_conversion,[],[f309]) ).
cnf(s13,plain,
spl5_12,
inference(sat_conversion,[],[f333]) ).
cnf(s14,plain,
( ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| spl5_16 ),
inference(sat_conversion,[],[f361]) ).
cnf(s15,plain,
( ~ spl5_4
| spl5_15 ),
inference(sat_conversion,[],[f362]) ).
cnf(s16,plain,
( spl5_1
| ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16 ),
inference(sat_conversion,[],[f457]) ).
cnf(s23,plain,
( ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16
| ~ spl5_24
| spl5_25 ),
inference(sat_conversion,[],[f828]) ).
cnf(s24,plain,
( ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16
| ~ spl5_24
| spl5_26
| ~ spl5_27 ),
inference(sat_conversion,[],[f838]) ).
cnf(s27,plain,
( ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16
| spl5_24 ),
inference(sat_conversion,[],[f847]) ).
cnf(s45,plain,
( ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_26
| ~ spl5_39 ),
inference(sat_conversion,[],[f1193]) ).
cnf(s46,plain,
( ~ spl5_4
| ~ spl5_15
| spl5_39 ),
inference(sat_conversion,[],[f1197]) ).
cnf(s79,plain,
( spl5_18
| spl5_65 ),
inference(sat_conversion,[],[f2376]) ).
cnf(s80,plain,
( ~ spl5_2
| ~ spl5_4
| spl5_18
| ~ spl5_25
| spl5_27
| ~ spl5_65 ),
inference(sat_conversion,[],[f2380]) ).
cnf(s83,plain,
( ~ spl5_4
| ~ spl5_12
| ~ spl5_15
| ~ spl5_16
| ~ spl5_18 ),
inference(sat_conversion,[],[f2396]) ).
cnf(s87,plain,
spl5_15,
inference(rat,[],[s15,s11]) ).
cnf(s90,plain,
spl5_39,
inference(rat,[],[s46,s11,s87]) ).
cnf(s91,plain,
~ spl5_26,
inference(rat,[],[s45,s90,s11,s13,s87]) ).
cnf(s92,plain,
spl5_16,
inference(rat,[],[s14,s11,s13,s87]) ).
cnf(s93,plain,
spl5_1,
inference(rat,[],[s16,s92,s11,s13,s87]) ).
cnf(s94,plain,
~ spl5_18,
inference(rat,[],[s83,s87,s11,s13,s92]) ).
cnf(s95,plain,
spl5_24,
inference(rat,[],[s27,s87,s11,s13,s92]) ).
cnf(s96,plain,
spl5_65,
inference(rat,[],[s79,s94]) ).
cnf(s100,plain,
~ spl5_27,
inference(rat,[],[s24,s92,s91,s87,s11,s13,s95]) ).
cnf(s101,plain,
spl5_25,
inference(rat,[],[s23,s92,s87,s11,s13,s95]) ).
cnf(s107,plain,
~ spl5_2,
inference(rat,[],[s80,s96,s100,s94,s11,s101]) ).
cnf(s113,plain,
$false,
inference(rat,[],[s1,s107,s93]) ).
fof(f2397,plain,
$false,
inference(avatar_sat_refutation,[],[s113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC178-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 08:20:37 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.27/2.17 % (206458)Input is clausal, will run a generic CNF schedule.
% 9.27/2.17 % (206464)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3611912725:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.27/2.17 % (206469)dis-21_1_sil=8000:lcm=predicate:random_seed=1776527960:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 9.27/2.17 % (206466)lrs+10_1_sil=8000:sp=occurrence:random_seed=3485966282:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.27/2.17 % (206463)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=888870439:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.27/2.17 % (206467)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2666429265:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.27/2.17 % (206465)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3280865497:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.27/2.17 % (206468)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3095526629:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.27/2.17 % (206469)Instruction limit reached!
% 9.27/2.17 % (206469)------------------------------
% 9.27/2.17 % (206469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (206469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (206469)CaDiCaL version: 2.1.3
% 9.27/2.17 % (206469)Termination reason: Instruction limit
% 9.27/2.17 % (206469)Termination phase: Saturation
% 9.27/2.17 % (206469)Time elapsed: 0.065 s
% 9.27/2.17 % (206469)Peak memory usage: 89 MB
% 9.27/2.17 % (206469)Instructions burned: 118 (million)
% 9.27/2.17 % (206466)Instruction limit reached!
% 9.27/2.17 % (206466)------------------------------
% 9.27/2.17 % (206466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (206466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (206466)CaDiCaL version: 2.1.3
% 9.27/2.17 % (206466)Termination reason: Instruction limit
% 9.27/2.17 % (206466)Termination phase: Saturation
% 9.27/2.17 % (206466)Time elapsed: 0.068 s
% 9.27/2.17 % (206466)Peak memory usage: 89 MB
% 9.27/2.17 % (206466)Instructions burned: 107 (million)
% 9.27/2.17 % (206467)Instruction limit reached!
% 9.27/2.17 % (206467)------------------------------
% 9.27/2.17 % (206467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (206467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (206467)CaDiCaL version: 2.1.3
% 9.27/2.17 % (206467)Termination reason: Instruction limit
% 9.27/2.17 % (206467)Termination phase: Saturation
% 9.27/2.17 % (206467)Time elapsed: 0.070 s
% 9.27/2.17 % (206467)Peak memory usage: 89 MB
% 9.27/2.17 % (206467)Instructions burned: 115 (million)
% 9.27/2.17 % (206468)Instruction limit reached!
% 9.27/2.17 % (206468)------------------------------
% 9.27/2.17 % (206468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (206468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (206468)CaDiCaL version: 2.1.3
% 9.27/2.17 % (206468)Termination reason: Instruction limit
% 9.27/2.17 % (206468)Termination phase: Saturation
% 9.27/2.17 % (206468)Time elapsed: 0.122 s
% 9.27/2.17 % (206468)Peak memory usage: 90 MB
% 9.27/2.17 % (206468)Instructions burned: 181 (million)
% 9.27/2.17 % (206478)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2771530558:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 9.27/2.17 % (206479)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2089069899:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.27/2.17 % (206477)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2748106244:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.27/2.17 % (206480)lrs+10_64_to=lpo:sil=8000:random_seed=364248042:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 9.27/2.17 % (206477)Instruction limit reached!
% 9.27/2.17 % (206477)------------------------------
% 9.27/2.17 % (206477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (206477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (206477)CaDiCaL version: 2.1.3
% 9.27/2.17 % (206477)Termination reason: Instruction limit
% 9.27/2.17 % (206477)Termination phase: Saturation
% 9.27/2.17 % (206477)Time elapsed: 0.093 s
% 9.27/2.17 % (206477)Peak memory usage: 89 MB
% 9.27/2.17 % (206477)Instructions burned: 143 (million)
% 9.27/2.17 % (206478)Instruction limit reached!
% 9.27/2.17 % (206478)------------------------------
% 9.27/2.17 % (206478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (206478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (206478)CaDiCaL version: 2.1.3
% 9.27/2.17 % (206478)Termination reason: Instruction limit
% 9.27/2.17 % (206478)Termination phase: Saturation
% 9.27/2.17 % (206478)Time elapsed: 0.099 s
% 9.27/2.17 % (206478)Peak memory usage: 90 MB
% 9.27/2.17 % (206478)Instructions burned: 190 (million)
% 9.27/2.17 % (206480)Instruction limit reached!
% 9.27/2.17 % (206480)------------------------------
% 9.27/2.17 % (206480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (206480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (206480)CaDiCaL version: 2.1.3
% 9.27/2.17 % (206480)Termination reason: Instruction limit
% 9.27/2.17 % (206480)Termination phase: Saturation
% 9.27/2.17 % (206480)Time elapsed: 0.064 s
% 9.27/2.17 % (206480)Peak memory usage: 90 MB
% 9.27/2.17 % (206480)Instructions burned: 126 (million)
% 9.27/2.17 % (206479)Instruction limit reached!
% 9.27/2.17 % (206479)------------------------------
% 9.27/2.17 % (206479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (206479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (206479)CaDiCaL version: 2.1.3
% 9.27/2.17 % (206479)Termination reason: Instruction limit
% 9.27/2.17 % (206479)Termination phase: Saturation
% 9.27/2.17 % (206479)Time elapsed: 0.132 s
% 9.27/2.17 % (206479)Peak memory usage: 90 MB
% 9.27/2.17 % (206479)Instructions burned: 220 (million)
% 9.27/2.17 % (206485)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2443098095:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 9.27/2.17 % (206486)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2922247383:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 9.27/2.17 % (206488)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3124899288:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 9.27/2.17 % (206487)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2920042853:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 9.27/2.17 % (206488)Instruction limit reached!
% 9.27/2.17 % (206488)------------------------------
% 9.27/2.17 % (206488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (206488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (206488)CaDiCaL version: 2.1.3
% 9.27/2.17 % (206488)Termination reason: Instruction limit
% 9.27/2.17 % (206488)Termination phase: Saturation
% 9.27/2.17 % (206488)Time elapsed: 0.056 s
% 9.27/2.17 % (206488)Peak memory usage: 90 MB
% 9.27/2.17 % (206488)Instructions burned: 107 (million)
% 9.27/2.17 % (206486)Instruction limit reached!
% 9.27/2.17 % (206486)------------------------------
% 9.27/2.17 % (206486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (206486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (206486)CaDiCaL version: 2.1.3
% 9.27/2.17 % (206486)Termination reason: Instruction limit
% 9.27/2.17 % (206486)Termination phase: Saturation
% 9.27/2.17 % (206486)Time elapsed: 0.094 s
% 9.27/2.17 % (206486)Peak memory usage: 91 MB
% 9.27/2.17 % (206486)Instructions burned: 158 (million)
% 9.27/2.17 % (206485)Instruction limit reached!
% 9.27/2.17 % (206485)------------------------------
% 9.27/2.17 % (206485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (206485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (206485)CaDiCaL version: 2.1.3
% 9.27/2.17 % (206485)Termination reason: Instruction limit
% 9.27/2.17 % (206485)Termination phase: Saturation
% 9.27/2.17 % (206485)Time elapsed: 0.123 s
% 9.27/2.17 % (206485)Peak memory usage: 90 MB
% 9.27/2.17 % (206485)Instructions burned: 195 (million)
% 9.27/2.17 % (206493)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1155059167:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 9.27/2.17 % (206495)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=96881754:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 9.27/2.17 % (206494)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2461388138:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 9.27/2.17 % (206493)Instruction limit reached!
% 9.27/2.17 % (206493)------------------------------
% 9.27/2.17 % (206493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (206493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (206493)CaDiCaL version: 2.1.3
% 9.27/2.17 % (206493)Termination reason: Instruction limit
% 9.27/2.17 % (206493)Termination phase: Saturation
% 9.27/2.17 % (206493)Time elapsed: 0.062 s
% 9.27/2.17 % (206493)Peak memory usage: 90 MB
% 9.27/2.17 % (206493)Instructions burned: 107 (million)
% 9.27/2.17 % (206463)First to succeed.
% 9.27/2.17 % (206463)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-206458"
% 9.27/2.17 % (206494)Instruction limit reached!
% 9.27/2.17 % (206494)------------------------------
% 9.27/2.17 % (206494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (206494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (206494)CaDiCaL version: 2.1.3
% 9.27/2.17 % (206494)Termination reason: Instruction limit
% 9.27/2.17 % (206494)Termination phase: Saturation
% 9.27/2.17 % (206494)Time elapsed: 0.154 s
% 9.27/2.17 % (206494)Peak memory usage: 89 MB
% 9.27/2.17 % (206494)Instructions burned: 243 (million)
% 9.27/2.17 % (206499)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=634924229:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 9.27/2.17 % (206499)Instruction limit reached!
% 9.27/2.17 % (206499)------------------------------
% 9.27/2.17 % (206499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.17 % (206499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.17 % (206499)CaDiCaL version: 2.1.3
% 9.27/2.17 % (206499)Termination reason: Instruction limit
% 9.27/2.17 % (206499)Termination phase: Saturation
% 9.27/2.17 % (206499)Time elapsed: 0.085 s
% 9.27/2.17 % (206499)Peak memory usage: 90 MB
% 9.27/2.17 % (206499)Instructions burned: 134 (million)
% 9.27/2.17 % (206500)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=962763924:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 9.27/2.17 % (206463)Refutation found. Thanks to Tanya!
% 9.27/2.17 % SZS status Unsatisfiable for theBenchmark
% 9.27/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 9.62/2.26 % (206463)------------------------------
% 9.62/2.26 % (206463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.62/2.26 % (206463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.62/2.26 % (206463)CaDiCaL version: 2.1.3
% 9.62/2.26 % (206463)Termination reason: Refutation
% 9.62/2.26 % (206463)Time elapsed: 0.864 s
% 9.62/2.26 % (206463)Peak memory usage: 132 MB
% 9.62/2.26 % (206463)Instructions burned: 1314 (million)
% 9.62/2.26 % (206463)------------------------------
% 9.62/2.26 % (206463)------------------------------
% 9.62/2.26 % (206458)Success in time 1.303 s
% 9.62/2.26 % Vampire exiting
%------------------------------------------------------------------------------